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13963988192 = 2571131182813
BaseRepresentation
bin11010000000101000…
…11000110011100000
31100001011201002122212
431000110120303200
5212044240110232
610225344421252
71003016640560
oct150024306340
940034632585
1013963988192
115a16342010
122858617828
13141701070b
149667c0da0
1556adbceb2
hex340518ce0

13963988192 has 96 divisors (see below), whose sum is σ = 35381090304. Its totient is φ = 5264985600.

The previous prime is 13963988189. The next prime is 13963988197. The reversal of 13963988192 is 29188936931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13963988197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15023 + ... + 167790.

It is an arithmetic number, because the mean of its divisors is an integer number (368553024).

Almost surely, 213963988192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13963988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690545152).

13963988192 is an abundant number, since it is smaller than the sum of its proper divisors (21417102112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13963988192 is a wasteful number, since it uses less digits than its factorization.

13963988192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182872 (or 182864 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 59.

The spelling of 13963988192 in words is "thirteen billion, nine hundred sixty-three million, nine hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 992 1232 1364 1736 2387 2464 2728 3472 4774 5456 6944 9548 10912 19096 38192 76384 182813 365626 731252 1279691 1462504 2010943 2559382 2925008 4021886 5118764 5667203 5850016 8043772 10237528 11334406 14076601 16087544 20475056 22668812 28153202 32175088 39670421 40950112 45337624 56306404 62339233 64350176 79340842 90675248 112612808 124678466 158681684 181350496 225225616 249356932 317363368 436374631 450451232 498713864 634726736 872749262 997427728 1269453472 1745498524 1994855456 3490997048 6981994096 13963988192